Search a number
-
+
71457126 = 23131516067
BaseRepresentation
bin1000100001001…
…01100101100110
311222110101202020
410100211211212
5121243112001
611031324010
71525242546
oct420454546
9158411666
1071457126
1137376884
121bb20606
1311a5bb30
1496c1326
156417736
hex4425966

71457126 has 32 divisors (see below), whose sum is σ = 154952448. Its totient is φ = 21837600.

The previous prime is 71457109. The next prime is 71457149. The reversal of 71457126 is 62175417.

It is a super-2 number, since 2×714571262 = 10212241712359752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8745 + ... + 14811.

It is an arithmetic number, because the mean of its divisors is an integer number (4842264).

Almost surely, 271457126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71457126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77476224).

71457126 is an abundant number, since it is smaller than the sum of its proper divisors (83495322).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71457126 is a wasteful number, since it uses less digits than its factorization.

71457126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236.

The product of its digits is 11760, while the sum is 33.

The square root of 71457126 is about 8453.2316897149. The cubic root of 71457126 is about 414.9685484463.

The spelling of 71457126 in words is "seventy-one million, four hundred fifty-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 151 302 453 906 1963 3926 5889 6067 11778 12134 18201 36402 78871 157742 236613 473226 916117 1832234 2748351 5496702 11909521 23819042 35728563 71457126